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Finding the Fourth Proportional to 419,741.12, 579,225.84 and 228,750.40

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Solution

The fourth proportional to 419,741.12, 579,225.84 and 228,750.40 is: 315,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,741.12 : 579,225.84 = 228,750.40 : x
  2. Step 2: Convert to fraction form
    419,741.12/579,225.84 = 228,750.40/x
  3. Step 3: Cross multiply
    419,741.12x = 579,225.84 × 228,750.40
  4. Step 4: Simplify right side
    419,741.12x = 132,498,142,590.34
  5. Step 5: Solve for x
    x = 132,498,142,590.34/419,741.12
  6. Step 6: Final answer
    x = 315,666.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.